45434464488 has 256 divisors, whose sum is σ = 149688000000. Its totient is φ = 12493522944.

The previous prime is 45434464487. The next prime is 45434464501. The reversal of 45434464488 is 88446443454.

45434464488 is a `hidden beast` number, since 45 + 43 + 446 + 44 + 88 = 666.

It is a super-3 number, since 3×45434464488³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45434464487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15301468 + ... + 15304436.

It is an arithmetic number, because the mean of its divisors is an integer number (584718750).

Almost surely, 2^45434464488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45434464488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844000000).

45434464488 is an abundant number, since it is smaller than the sum of its proper divisors (104253535512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45434464488 is a wasteful number, since it uses less digits than its factorization.

45434464488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3359 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 54.

The spelling of 45434464488 in words is "forty-five billion, four hundred thirty-four million, four hundred sixty-four thousand, four hundred eighty-eight".